Publication Cover
Applicable Analysis
An International Journal
Volume 58, 1995 - Issue 3-4
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Original Articles

When nonautonomous equations are equivalent to autonomopus ones

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Pages 313-323 | Received 03 May 1992, Published online: 02 May 2007

  • Ovsiannikov , W.F. 1962 . “ Group properties of differential equations ” . Edited by: Bluman , G. W. Moscow : Novosibirsk . in russian, translated
  • Ames , W.F. 1972 . Nonlinear partial differential equations in engineering , Vol. 2 , New York : Academic Press .
  • Ames , W.F. and Ovsiannikov , L.V. 1972 . Group analysis of differential equations , Vol. 2 , New York : Academic Press . Academic Press, New York ,1982
  • Bluman , G.W. and Cole , J.D. 1974 . Similarity methods for differential equations , New York : Springer .
  • Ibragimov , N.H. 1985 . Transformation groups applied to mathematical physics Reidel, Boston
  • Olver , P.J. and Bluman , G.W. 1989 . Symmetries and differential equations , New York : Springer . Springer, New York ,1989
  • Bluman , G.W. and Kumei , S. 1989 . Symmetries and differential equations , New York : Springer .
  • Tajiri , M. , Nishitani , T. and Kawamoto , S. 1982 . Similarity solutions of the Kadomtsev-Petviashvili equation . J. Phys. Soc. , 51 : 2350 – 2356 .
  • Dresner , L. 1988 . Similarity solutions of nonlinear partial differential equations , Vol. 88 , Pitman, Boston : Res.Notes in Math. .
  • Donato , A. 1987 . Similarity analysis and non-linear wave propagation, . Int. J. Nonlinear Mech. , 22 : 307 – 314 .
  • Ames , .W.F and Donato , A. 1988 . On the evolution of weak discontinuities in a state characterized by invariant solutions . Int. J. Non-linear Mech. , 23 : 167 – 174 .
  • Donato , A. and Nucci , M.C. 1988 . Similarity solutions and spherical discontinuity waves in hyperelastic materials subject to a non constant deformation . Meccanica , 23 : 156 – 159 .
  • Manganaro , N. and Oliveri , F. 1989 . Group analysis approach in magnetohydrodynamics: weak discontinuity propagation in a non-constant state . Meccanica , 24 : 71 – 78 .
  • Ames , W.F. , Donato , A. and Nucci , M.C. 1989 . “ Analysis of the threadline equations ” . In In "Nonlinear wave motion" , Edited by: Jeffrey , A. 1 – 10 . Longman Scientific and Technical .
  • Torrisi , M. 1989 . Similarity solutions and growth of weak discontinuities in a nonconstant state for a reactive polytropic gas,Int. . J. Non-linear Mech , 24 : 441 – 449 .
  • Bluman , G. W. 1983 . On mapping partial differential equations to constant coefficient equations . SIAM J. Appl. Math. , 43 : 1259 – 1273 .

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